+157 Frank bought supplies for school. In the first store, he spent half of his money plus $10. In the second store, he spent half of what he had left, plus $10. In the third store, he spent 80% of what he had left. He came home with $5. How much did he start out with?
+129933 Let the total that he started with = T
In the first store he spends T/2 + 10
What he has left = T - (T/2 + 10) = T/2 -10
In the second store he spends (1/2) (T/2 -10) + 10 = T/4 + 5
What he has left = (T/2 - 10) - ( T/4 + 5) = T/4 -15
In the third store he spends (.80) (T/4 -15) = (4/5)(T/4 - 15) = T/5 -12
What the has left = (T/4 -15) - (T/5 -12) = T/20 -3
And what he has left = $5
So
T/20 - 3 = 5
T/20 = 8
T = 20 *8 = $160 = what he started with
